Towards Integrating Control and Information Theories: 

From Information-Theoretic Measures to Control Performance Limitations 

By Song Fang, Jie Chen, and Hideaki Ishii

This book is an attempt towards bridging control theory and information theory to characterize the fundamental limitations of generic feedback systems; in particular, we aim to develop an information-theoretic framework to analyze the performance bounds and design trade-offs that are prevalent in all possible feedback systems. 

Towards this end, the book introduces new entropic measures compatible with the analysis of feedback control systems and studies various classes of performance limitation relations. In addition, we examine the implications of the results in the context of state estimation and correspondingly obtain generic bounds on estimation errors. 

It is also worth mentioning that, thanks to the information-theoretic analysis, the aforementioned performance limits are valid for arbitrary causal controllers or estimators, whether they be designed using conventional approaches or, say, machine learning methods (learning in the loop).

链接：https://www.springer.com/us/book/9783319492889

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